Classical Hopf Algebras and Their Applications is popular PDF and ePub book, written by Pierre Cartier in 2021-09-20, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Classical Hopf Algebras and Their Applications can be Read Online from any device for your convenience.
Classical Hopf Algebras and Their Applications Book PDF Summary
This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative and cocommutative Hopf algebras, such as algebras of representative functions on groups and enveloping algebras of Lie algebras, as explored in the works of Borel, Cartier, Hopf and others in the 1940s and 50s. The modern and systematic treatment uses the approach of natural operations, illuminating the structure of Hopf algebras by means of their endomorphisms and their combinatorics. Emphasizing notions such as pseudo-coproducts, characteristic endomorphisms, descent algebras and Lie idempotents, the text also covers the important case of enveloping algebras of pre-Lie algebras. A wide range of applications are surveyed, highlighting the main ideas and fundamental results. Suitable as a textbook for masters or doctoral level programs, this book will be of interest to algebraists and anyone working in one of the fields of application of Hopf algebras.
Detail Book of Classical Hopf Algebras and Their Applications PDF
- Author : Pierre Cartier
- Release : 20 September 2021
- Publisher : Springer Nature
- ISBN : 9783030778453
- Genre : Mathematics
- Total Page : 277 pages
- Language : English
- PDF File Size : 10,6 Mb
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